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22253531311431 = 3273453710227601
BaseRepresentation
bin1010000111101010011011…
…10101000010110101000111
32220210102020212012102100100
411003311031311002311013
510404100213003431211
6115155044155015143
74454523152066220
oct503651565026507
986712225172310
1022253531311431
1170aa740305672
1225b4a7273a4b3
13c556643b7484
1456d11050c247
15288ceabc2156
hex143d4dd42d47

22253531311431 has 24 divisors (see below), whose sum is σ = 36737055459104. Its totient is φ = 12715934169600.

The previous prime is 22253531311423. The next prime is 22253531311433. The reversal of 22253531311431 is 13411313535222.

22253531311431 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 3 + 531 + 3 + 114 + 3 + 1 = 666.

It is not a de Polignac number, because 22253531311431 - 23 = 22253531311423 is a prime.

It is a super-4 number, since 4×222535313114314 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22253531311433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2937970 + ... + 7289631.

Almost surely, 222253531311431 is an apocalyptic number.

22253531311431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22253531311431 is a deficient number, since it is larger than the sum of its proper divisors (14483524147673).

22253531311431 is a wasteful number, since it uses less digits than its factorization.

22253531311431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262151 (or 10262148 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 22253531311431 its reverse (13411313535222), we get a palindrome (35664844846653).

The spelling of 22253531311431 in words is "twenty-two trillion, two hundred fifty-three billion, five hundred thirty-one million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 34537 103611 241759 310833 725277 2175831 10227601 30682803 71593207 92048409 214779621 644338863 353230655737 1059691967211 2472614590159 3179075901633 7417843770477 22253531311431